Hawa is working two summer jobs, making $9 per hour babysitting and making $13 per hour tutoring. In a given week, she can work no more than 12 total hours and must earn a minimum of $120. If Hawa worked 2 hours babysitting, determine the minimum number of whole hours tutoring that she must work to meet her requirements.Answer:
Q. Hawa is working two summer jobs, making $9 per hour babysitting and making $13 per hour tutoring. In a given week, she can work no more than 12 total hours and must earn a minimum of $120. If Hawa worked 2 hours babysitting, determine the minimum number of whole hours tutoring that she must work to meet her requirements.Answer:
Calculate Earnings from Babysitting: First, we need to calculate the amount Hawa earns from babysitting for 2 hours.She earns $9 per hour babysitting.So, for 2 hours, she will earn 2 hours * $9/hour = $18.
Determine Additional Earnings Needed: Next, we need to determine how much more money Hawa needs to make to reach her minimum weekly earnings of $120. She has already earned $18 from babysitting. So, she needs $120−$18=$102 more.
Calculate Hours for Tutoring: Now, we need to calculate the number of hours she needs to work tutoring to make the additional $102. She earns $13 per hour tutoring. To find the number of hours, we divide the total amount she needs by her hourly tutoring rate: $102÷$13/hour=7.84615385 hours.
Round Up to Whole Hours: Since Hawa can only work whole hours, we need to round up the number of hours to the next whole number because she can't work a fraction of an hour and she needs to meet the minimum earnings requirement.Therefore, she must work at least 8 whole hours tutoring.